The length of a rectangle is six times its width if the perimeter of the rectangle is 112m find its area

Answer:

50 minus 27 is 23 so she has $23 more dollars left?

Step-by-step explanation:

Answer:

A) 77°

B) 77°

C) 103°

Step-by-step explanation:

A) Vertical angles are congruent

B) Alternate exterior angles are congruent.

C) Angles B and C are supplemental.  They add to 180°

Helping in the name of Jesus.

Answer:

112.5

67.5

Step-by-step explanation:

We know the ratio is:

5:3

So, we can write it as:

5x+3x=180, with 5x being one angle, and 3x being the other

combine like terms

8x=180

divide both sides by 8

x=22.5

5(22.5)=112.5

3(22.5)=67.5

So, one angle is 112.5 and the other is 67.5.

Hope this helps!

The given figure is formed by a cylinder and a cone.

The volume of a cone is

Where pi = 3.14, r = 5 cm, and h = 13 cm. Let's replace these values

The volume of a cylinder is

Where pi = 3.14, r = 5cm, and h = 2 cm. Let's replace these values

Then, we add both volumes to find the total

Given:

• m∠1 = 78 degrees

• m∠2 = 31 degrees.

Let's solve for the following:

• Measure of arc CE:

To find the measure of arcCE, apply the angle-arc relationship:

We now have the two equations.

Thus, we have:

Let x represent arcCE

Let y represent arc BD.

Thus, we have:

Let's solve the system of equations simultaneously.

Rewrite the first equation for x:

Substitute in (62+y) for x in the second equation:

Now, plug in 47 for y in either of the equations:

• Since x represents the measure of arcCE,:

Measure of arcCE = 109°

• Since y represents the measure of arcBD:

Measure of arcBD = 47°

ANSWER:

• Measure of arcCE = 109°

• Measure of arcBD = 47°

Answer:

84.78

Step-by-step explanation:

The full area of the circle without the cutout is 113.04

The cutout sector is 28.26

So that would make our final answer 84.78

by subtracting 28.26(cutout) from 113.04(full circle)

(In case you are wondering) The way I found the cutout sector's area was this formula: π4²·(angle)/360

Answer:

Check the attachment..

Nicholas will earn a commission of

Nicholas will earn a commission of 4% on the total price of the two cars sold to Mr. Sherman.

The total price of the two cars is $33,500 per car, so for two cars, the total price would be

= $33,500 * 2

= $67,000.

Therefore, Nicholas will earn a commission of 4% of $67,000

= $67,000 * 0.04

= $2,680.

hence, Nicholas will earn $2,680 in commission for selling the two cars to Mr. Sherman.

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Answer:

c

Step-by-step explanation:

All the solutions are,

⇒ x = 1/2 (w- v)

⇒ x = (b - 9)/(a - 2)

⇒ x = (4 + w) / (7 - v)

⇒ x = 2 / (v + w)

⇒ x = 7v/(3w - 4)

Given that;

Expressions are,

⇒ 6x + v = 4x + w

⇒ ax + 9 = 2x + b

⇒ 7x - w = vx+4

⇒ 6 - wx = vx + 4

⇒ 3(wx - v) = 4(x + v)

We can simplify as;

⇒ 6x + v = 4x + w

⇒ 6x - 4x = w - v

⇒ 2x = w - v

⇒ x = 1/2 (w- v)

⇒ ax + 9 = 2x + b

⇒ ax - 2x = b - 9

⇒ (a - 2)x = b - 9

⇒ x = (b - 9)/(a - 2)

⇒ 7x - w = vx+4

⇒ 7x - vx = 4 + w

⇒ (7 - v) x = 4 + w

⇒ x = (4 + w) / (7 - v)

⇒ 6 - wx = vx + 4

⇒ vx + wx = 6 - 4

⇒ (v + w)x = 2

⇒ x = 2 / (v + w)

⇒ 3(wx - v) = 4(x + v)

⇒ 3wx - 3v = 4x + 4v

⇒ 3wx - 4x = 7v

⇒ (3w - 4)x = 7v

⇒ x = 7v/(3w - 4)

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Answer: 11.36

Step-by-step explanation:

↓ Please look in the screenshot below...

Answer:

No

Step-by-step explanation:

because some have factors...are dividable e.g.=9..

9= 3 x 3

We can write the scale factor for the table as {K} = y/x.

Given is to determine the scale for the given table.

Therefore, we can write the scale factor for the table as {K} = y/x.

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Answer:

Maybe negative or undefined?

Step-by-step explanation:

Answer:

Explanation:

Here, we want to get the equivalent expression to the given one

We have this as follows;

The length of the diagonal of a square with a perimeter of 56 is 14√2.

A diagonal is the longest line that divides a plane shape into two equal parts.

To calculate the length of the diagonal of the square, first we need to find the length of the square using the perimeter formula.

Formula:

Where:

From the question,

Given:

Substitute the value into equation 1 and solve for a

Finally to find the length of the diagonal of the square, we use the formula below

Where:

Substitute into equation 2

Hence, the length of the diagonal is 14√2.

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Answer:

qfewwqeffwqfefewqwqreg

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Y = 5

x = 4

Substitute

5 + 1 - 4

6 - 4

2

Answer:

Given that x = 4 and y = 5,

\(\sf 5 + 1 - 4\\(5 + 1) - 4\\5 + 1\\= 6\\= 6 - 4\\= 2\)

Therefore, the answer is 2.

Answer:

i think it's 14c5 sincce theres 5 colors to choose from .

The simplified expression of (√12+6)(-√8-√2) is -6√6 - 18√2

The expression is given as:

(√12+6)(-√8-√2)

Factor out -1

(√12+6)(-√8-√2) = -(√12+6)(√8+√2)

Expand the expression

(√12+6)(-√8-√2) = -(√96 + 6√8 + √24 + 6√2)

Evaluate the radicals

(√12+6)(-√8-√2) = -(4√6 + 12√2 + 2√6 + 6√2)

Evaluate the like terms

(√12+6)(-√8-√2) = -(6√6 + 18√2)

Open the bracket

(√12+6)(-√8-√2) = -6√6 - 18√2

Hence, the simplified expression of (√12+6)(-√8-√2) is -6√6 - 18√2

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The total prorations for interest and property taxes to the nearest $100 are:

Proration for interest: $517

Proration for property taxes: $1,754

To calculate the total prorations for interest and property taxes, we need to determine how much the seller owes for each of these expenses up to the closing date of June 15.

First, let's calculate the daily interest rate on the mortgage. We can do this by multiplying the principal amount of the mortgage ($168,745.60) by the annual interest rate (8%) and then dividing by 365 (the number of days in a year):

Daily interest rate = ($168,745.60 x 0.08) / 365 = $36.94

Next, we need to determine the number of days from the start of the month (June 1) to the closing date (June 15):

Number of days = 15 - 1 = 14

Using the daily interest rate and the number of days, we can calculate the proration for interest:

Proration for interest = ($36.94 x 14) = $516.76

To calculate the proration for property taxes, we need to divide the annual property taxes ($3,893.25) by 365 to get the daily property tax rate:

Daily property tax rate = $3,893.25 / 365 = $10.65

Next, we need to determine the number of days from the start of the year to the closing date (June 15):

Number of days = 165

Using the daily property tax rate and the number of days, we can calculate the proration for property taxes:

Proration for property taxes = ($10.65 x 165) = $1,754.25

Therefore, the total prorations for interest and property taxes to the nearest $100 are:

Proration for interest: $517

Proration for property taxes: $1,754

These prorations will be subtracted from the seller's equity, since they are expenses that the seller owes up to the closing date.

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Answer:

In Exercises 9 − 16, Ind the indicated measure in a LMNQ. Explain your reasoning. m ∠ L M N Answer m ∠ L M N = 80 ∘ View Answer Discussion You must be signed in to discuss. AS Ahin S. February 11, 2021 Find m?LMN in parallelogram LMNQ AS Ahin S. February 11, 2021 Watch More Solved Questions in Chapter 7 Problem 1 Problem 2 Problem 3 Problem 4

Step-by-step explanation:

To maximize the volume, of the rectangular prism, the carton should have dimensions of approximately 10.74 inches (length), 10.74 inches (width), and 5.37 inches (height).

Assuming the height of the rectangular prism is h inches.

According to the given information, the length and width of the prism will be twice the height, which means the length is 2h inches and the width is also 2h inches.

The total surface area of the rectangular prism is given by the formula:

Surface Area = 2lw + 2lh + 2wh

Substituting the values, we have:

576 = 2(2h)(2h) + 2(2h)(h) + 2(2h)(h)

576 = 8h² + 4h² + 4h²

576 = 16h² + 4h²

576 = 20²

h² = 576/20

h² = 28.8

h = √28.8

h = 5.37

The height of the prism is approximately 5.37 inches.

The length and width will be twice the height, so the length is approximately 2 * 5.37 = 10.74 inches, and the width is also approximately 2 * 5.37 = 10.74 inches.

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Answer:

a. P(O) = ¹/₂ = 0.5

As a percentage, this is 50%

b. P(> 2) = ²/₃ = 0.666...

As a percentage, this is 66.6...%

c. P(< 7) = 1

As a percentage, this is 100%

d. P(prime) = ¹/₂ = 0.5

As a percentage, this is 50%

Step-by-step explanation:

a.

1, 3 and 5 are odd, 3 of the outcomes

2, 4 and 6 are even, 3 of the outcomes

So, 3 of the 6 possible outcomes are odd and 3 are even;

Thus, the probability of an odd roll is ³/₆ (and the same applies to even);

This can be simplified to ¹/₂

b.

3, 4, 5 and 6 are the outcomes > 2;

1 and 2 are the outcomes ≤ 2;

So, 4 of the 6 possible outcomes are > 2;

Thus, the probability of rolling < 2 is ⁴/₆;

This can be simplified to ²/₃

c.

All outcomes are less than 7 since they are 1, 2, 3, 4, 5 or 6;

This means the probability of rolling less than 7 is ⁶/₆, or simply 1

d.

Prime numbers: 2, 3, 5, 7 ...

The possible prime number outcomes are 2, 3 and 5;

3 of the 6 possible outcomes, therefore, are prime so the probability of rolling a prime is ³/₆ or ¹/₂

Answer:

10 + 8 + 10 + 10 + 10 + 10 + 8 + 8 + 6 + 6

Answer:

\(y=\frac{1}{2} x+\frac{5}{2}\)

Step-by-step explanation:

First find the slope using the slope using the given points. Remember that the slope is the change in y over the change in x.  

\(\frac{6-2}{7- (-1)}=\frac{4}{8}=\frac{1}{2}\)

So now we have the equation \(y=\frac{1}{2} x+b\), and we need to find out what b is. We can do this by pointing a point (either one, but I'll use -1,2) into the equation

\(2=\frac{1}{2}(-1)+b\)

Rearrange the equation so it equals b

\(\frac{5}{2}=b\)

Put it together and that's the final equation!

\(y=\frac{1}{2} x+\frac{5}{2}\)

Answer:

10x=40

x=40/10

x=4

4 is the answers, not -4

Step-by-step explanation:

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